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133,128

133,128 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

133,128 (one hundred thirty-three thousand one hundred twenty-eight) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2³ × 3² × 43². Its proper divisors sum to 236,007, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20808.

Abundant Number Achilles Number Gapful Number Harshad / Niven Odious Number Pernicious Number Powerful Number Practical Number Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
144
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
821,331
Square (n²)
17,723,064,384
Cube (n³)
2,359,436,115,313,152
Divisor count
36
σ(n) — sum of divisors
369,135
φ(n) — Euler's totient
43,344
Sum of prime factors
98

Primality

Prime factorization: 2 3 × 3 2 × 43 2

Nearest primes: 133,121 (−7) · 133,153 (+25)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 36 · 43 · 72 · 86 · 129 · 172 · 258 · 344 · 387 · 516 · 774 · 1032 · 1548 · 1849 · 3096 · 3698 · 5547 · 7396 · 11094 · 14792 · 16641 · 22188 · 33282 · 44376 · 66564 (half) · 133128
Aliquot sum (sum of proper divisors): 236,007
Factor pairs (a × b = 133,128)
1 × 133128
2 × 66564
3 × 44376
4 × 33282
6 × 22188
8 × 16641
9 × 14792
12 × 11094
18 × 7396
24 × 5547
36 × 3698
43 × 3096
72 × 1849
86 × 1548
129 × 1032
172 × 774
258 × 516
344 × 387
First multiples
133,128 · 266,256 (double) · 399,384 · 532,512 · 665,640 · 798,768 · 931,896 · 1,065,024 · 1,198,152 · 1,331,280

Sums & aliquot sequence

As a sum of two squares: 258² + 258²
As consecutive integers: 44,375 + 44,376 + 44,377 14,788 + 14,789 + … + 14,796 8,313 + 8,314 + … + 8,328 3,075 + 3,076 + … + 3,117
Aliquot sequence: 133,128 236,007 113,673 59,575 14,329 2,951 241 1 0 — terminates at zero

Continued fraction of √n

√133,128 = [364; (1, 6, 1, 1, 9, 1, 2, 1, 10, 1, 5, 4, 1, 1, 1, 1, 90, 1, 1, 1, 1, 4, 5, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand one hundred twenty-eight
Ordinal
133128th
Binary
100000100000001000
Octal
404010
Hexadecimal
0x20808
Base64
AggI
One's complement
4,294,834,167 (32-bit)
Scientific notation
1.33128 × 10⁵
As a duration
133,128 s = 1 day, 12 hours, 58 minutes, 48 seconds
In other bases
ternary (3) 20202121200
quaternary (4) 200200020
quinary (5) 13230003
senary (6) 2504200
septenary (7) 1063062
nonary (9) 222550
undecimal (11) 91026
duodecimal (12) 65060
tridecimal (13) 48798
tetradecimal (14) 36732
pentadecimal (15) 296a3

As an angle

133,128° = 369 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγρκηʹ
Mayan (base 20)
𝋰·𝋬·𝋰·𝋨
Chinese
一十三萬三千一百二十八
Chinese (financial)
壹拾參萬參仟壹佰貳拾捌
In other modern scripts
Eastern Arabic ١٣٣١٢٨ Devanagari १३३१२८ Bengali ১৩৩১২৮ Tamil ௧௩௩௧௨௮ Thai ๑๓๓๑๒๘ Tibetan ༡༣༣༡༢༨ Khmer ១៣៣១២៨ Lao ໑໓໓໑໒໘ Burmese ၁၃၃၁၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133128, here are decompositions:

  • 7 + 133121 = 133128
  • 11 + 133117 = 133128
  • 19 + 133109 = 133128
  • 31 + 133097 = 133128
  • 41 + 133087 = 133128
  • 59 + 133069 = 133128
  • 89 + 133039 = 133128
  • 139 + 132989 = 133128

Showing the first eight; more decompositions exist.

Unicode codepoint
𠠈
CJK Unified Ideograph-20808
U+20808
Other letter (Lo)

UTF-8 encoding: F0 A0 A0 88 (4 bytes).

Hex color
#020808
RGB(2, 8, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.8.

Address
0.2.8.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.8

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 133,128 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.